Question

If $mean=60$ and $median=50$, then find mode using empirical relationship.

Answer 1

$\Rightarrow$ Mean $=60$ and $Median=50$

$\Rightarrow$ $2Median=2Mean+Mode$

$\Rightarrow$ $3\left(50\right)=2\left(60\right)+Mode$

$\Rightarrow$ $150=120+Mode$

$\Rightarrow$ $Mode=150-120$

$\therefore$ $Mode=30$